Question

If the faces of a cube 1,2,3,4,5, and 6 are yellow, green, yellow, blue, black, red coloured respectively, and the sum of the number on the opposite faces is 7, then which of these options could be the cube

Answer 1

Answer:

If the base of the cube is red, then in order the adjacent faces to be painted with the different colors, the top must also be red. 4 side faces can be painted in Green-Blue-Green-Blue OR Blue-Green-Blue-Green (2 options).

But we can have the base painted in either of the three colors, thus the total number of ways to paint the cube is 3*2=6.